Physics Waves DUHS 2023
PMDC Verified Question 50 of 125
The speed of sound at 0°C in air is 332 m/s. What will be the speed of sound at 50°C?
A
300 m/s
B
332 m/s
C
362.5 m/s
D
382 m/s
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: 362.5 m/s
Concept:

The velocity of sound in gases climbs predictably as ambient temperature rises.

Formula:

$$ v_t = v_0 + 0.61t $$

Solution:

  • We are given the baseline speed \( v_0 = 332 \text{ m/s} \) and temperature \( t = 50^\circ\text{C} \).


  • First, calculate the temperature-induced speed increment: \( 0.61 \times 50 \).


  • \( 0.61 \times 50 = 30.5 \text{ m/s} \).


  • Add this increment to the baseline: \( v_{50} = 332 + 30.5 = 362.5 \text{ m/s} \).


Why other options are incorrect:

Option D occurs if a math error yields 50 instead of 30.5. Option B assumes temperature has no effect on wave speed.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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